32 boys are standing in front of X in a queue. Y is standing in the 19th position from the back in the same queue. If total number of boys is 45 then the number of boys standing in between X and Y is

3

6

5

4

Solution

There are five boys between X andY.

Starting from his house Arun moves 5km to the north east and then 4km towards south. He now moves 3km towards east and then moves 8 km towards north to reach his friend’s house. Then his friend’s house is

5 km north-east of Arun's house

10 km south-east of Arun's house

10 km north-east of Arun's house

10 km north-west of Arun's house

Solution

\(BF =\sqrt{(BE)^{2}+(EF)^{2}}\)

\(=\sqrt{(3)^{2}+(4)^{2}}\)

\(=\sqrt{9+16}=\sqrt{25}=5\)

Arun's friend's house is 10 km north-east of Arun's house.

Bimal is older than Chand but younger to Antl, Dipak is younger to Emon but older than Chand. If Anil is younger to Emon then which of the following can definitely be concluded?